A turning machine for producing non rotationally symmetric surfaces of synthetic spectacle lenses, having a support plane E, a machine bed made of cast iron with a width b1 and a mass m1, a linear motor with an actuator comprising a turning tool holder and an oscillation axis Z, a workpiece spindle with a rotational axis C and a movement axis X, wherein the machine bed has at least two bearing surfaces arranged at a distance for the linear motor and for the workpiece spindle, and between the two bearing surfaces, a chip space is provided which is limited at least partially by the machine bed, wherein the linear motor is supported on the first bearing surface and the workpiece spindle is supported on the second bearing surface in relation to the chip space opposite the linear motor, wherein the mass of the machine bed has the maximum value m1, and the value m1 lies between 100 kg and 500 kg, between 150 kg and 300 kg, between 170 kg and 200 kg or 180 kg. A turning machine, in which the ratio of the mass m1 of the machine bed to a moved mass m2 of the linear motor 3 is greater than a quotient Q, wherein the quotient Q is between 1:500 and 1:20, between 1:60 and 1:30 or between 1:140 and 1:100, or 1:40 or 1:120.